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Finding the Fourth Proportional to 109,374.60, 164,061.90 and 82,802.55

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Solution

The fourth proportional to 109,374.60, 164,061.90 and 82,802.55 is: 124,203.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,374.60 : 164,061.90 = 82,802.55 : x
  2. Step 2: Convert to fraction form
    109,374.60/164,061.90 = 82,802.55/x
  3. Step 3: Cross multiply
    109,374.60x = 164,061.90 × 82,802.55
  4. Step 4: Simplify right side
    109,374.60x = 13,584,743,677.85
  5. Step 5: Solve for x
    x = 13,584,743,677.85/109,374.60
  6. Step 6: Final answer
    x = 124,203.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.